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Tag Archives: rhombic
A Flock of 32 Rhombic Triacontahedra
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic, triacontahedra, triacontahedron
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A Rhombic Cage
This cage is made of 36 identical rhombi, and has six openings. I made it with Stella 4d, a program available at this website.
Posted in Art, Mathematics
Tagged Art, cage, geometric, geometrical, mathematical, rhombi, rhombic, rhombus
2 Comments
Partially Truncated Platonic and Rhombic Dodecahedra
Each of these dodecahedra were modified by truncations at exactly four of their threevalent vertices. As a result, each has four equilateral triangles as faces. In the one above, the Platonic dodecahedron’s pentagonal faces are modified into a dozen irregular … Continue reading
Posted in Mathematics
Tagged dodecahedra, dodecahedron, geometry, Mathematics, partial, Platonic, polyhedra, polyhedron, rhombic, truncated, truncation
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A Rhombic Ring of Icosahedra, Leading to a Rhombic Dodecahedron Made of Icosahedra
As it turns out, eight icosahedra form this rhombic ring, by augmentation: Measured from the centers of these icosahedra, the long and short diagonal of this rhombus are in a (√2):1 ratio. How do I know this? Because that’s the … Continue reading
Posted in Mathematics
Tagged geometry, icosahedra, icosahedron, lattice, Mathematics, polyhedra, polyhedron, rhombic, rhombic dodecahedra, rhombic dodecahedron, rhombus, ring
2 Comments
A Rhombic Enneacontahedron, Augmented with Sixty Rhombic Dodecahedra, Along with Its Dual
The dual to this clusterpolyhedron appears below. Both virtual models were created using Stella 4d: Polyhedron Navigator, software available here.
Posted in Mathematics
Tagged dodecahedron, dual, enneacontahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic
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The Rhombic Dodecahedron / Rhombic Triacontahedron Compound
Stella 4d has this in its builtin library. You can try it at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, dodecahedron, geometry, Mathematics, polyhedra, polyhedral, rhombic, rhombic triacontahedron
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A Collection of Four Polyhedra Decorated with Mandalas
First, a cuboctahedron. Next, its dual, the rhombic dodecahedron. And, after that, the icosidodecahedron. And finally, its dual, the rhombic triacontahedron. All of these rotating images were assembled using Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mandalas, Mathematics
Tagged cuboctahedron, dodecahedron, geometry, icosidodecahedron, mandala, Mathematics, polyhedra, polyhedron, rhombic, triacontahedron
2 Comments